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252515900 = 225271327749
BaseRepresentation
bin11110000110100…
…01011000111100
3122121011010200202
433003101120330
51004121002100
641020143032
76154230650
oct1703213074
9577133622
10252515900
1111a5a1a2a
1270697a78
13404138c0
1425772a60
151727e7d5
hexf0d163c

252515900 has 72 divisors (see below), whose sum is σ = 674436000. Its totient is φ = 79914240.

The previous prime is 252515891. The next prime is 252515917. The reversal of 252515900 is 9515252.

252515900 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4775 + ... + 22974.

Almost surely, 2252515900 is an apocalyptic number.

252515900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252515900 is an abundant number, since it is smaller than the sum of its proper divisors (421920100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252515900 is a wasteful number, since it uses less digits than its factorization.

252515900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27783 (or 27776 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 252515900 is about 15890.7488810314. The cubic root of 252515900 is about 632.0666990173.

The spelling of 252515900 in words is "two hundred fifty-two million, five hundred fifteen thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 27749 55498 110996 138745 194243 277490 360737 388486 554980 693725 721474 776972 971215 1387450 1442948 1803685 1942430 2525159 2774900 3607370 3884860 4856075 5050318 7214740 9018425 9712150 10100636 12625795 18036850 19424300 25251590 36073700 50503180 63128975 126257950 252515900